story about two intruders who killed him and also tried to kill her. now her story is that she did indeed kill him but that it was in self-defense, he was abusive. today's cross-examination focused on the couple's sex life. we want to warn you the testimony is graphic, maybe too explicit for younger viewers. randi kaye reports. >> reporter: if travis alexander was so dangerous and so abusive to jodi arias, then why, prosecutors want to know, was she sending him text messages, calling him an amazing friend and telling him she loved him. >> you're still under oath. >> reporter: in court today she was questioned about one text sent in april 2008 just two months before arias supposedly killed alexander in self-defense. >> well, you've been telling us before that he was mean. do you remember telling us that? >> yes, he was also that. >> and you've been telling us that, in addition to being mean, he was somebody that -- who physically abused you, right? >> yes, he did.